Least Common Multiple of 10016 and 10023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10016 and 10023 the smallest integer that is 100390368 that is divisible by both numbers.

Least Common Multiple (LCM) of 10016 and 10023 is 100390368.

LCM(10016,10023) = 100390368

LCM of 10016 and 10023

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 10016 and 10023

LCM of 10016 and 10023 is 100390368

Least common multiple can be found by multiplying the highest exponent prime factors of 10016 and 10023. First we will calculate the prime factors of 10016 and 10023.

Prime Factorization of 10016


2 10016
2 5008
2 2504
2 1252
2 626
313 313
1

Prime factors of 10016 are 2,313. Prime factorization of 10016 in exponential form is:

10016 = 25×3131

Prime Factorization of 10023


3 10023
13 3341
257 257
1

Prime factors of 10023 are 3, 13,257. Prime factorization of 10023 in exponential form is:

10023 = 31×131×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 10016 and 10023.

LCM(10016,10023) = 25×31×131×2571×3131
LCM(10016,10023) = 100390368

Factors of 10016

List of positive integer factors of 10016 that divides 10016 without a remainder.

1, 2, 4, 8, 16, 32, 313, 626, 1252, 2504, 5008, 10016

Factors of 10023

List of positive integer factors of 10023 that divides 10023 without a remainder.

1, 3, 13, 39, 257, 771, 3341, 10023

Least Common Multiple of 10016 and 10023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10016 and 10023, than apply into the LCM equation.

GCF(10016,10023) = 1
LCM(10016,10023) = ( 10016 × 10023) / 1
LCM(10016,10023) = 100390368 / 1
LCM(10016,10023) = 100390368

Properties of LCM 10016 and 10023

(i) The LCM of 10023 and 10016 is associative

LCM of 10016 and 10023 = LCM of 10023 and 10016

Related Least Common Multiples of 10016

Related Least Common Multiples of 10023

Frequently Asked Questions on LCM of 10016 and 10023

1. What is the LCM of 10016 and 10023?

Answer: LCM of 10016 and 10023 is 100390368.

2. What are the Factors of 10016?

Answer: Factors of 10016 are 1, 2, 4, 8, 16, 32, 313, 626, 1252, 2504, 5008, 10016. There are 12 integers that are factors of 10016. The greatest factor of 10016 is 10016.

3. What are the Factors of 10023?

Answer: Factors of 10023 are 1, 3, 13, 39, 257, 771, 3341, 10023. There are 8 integers that are factors of 10023. The greatest factor of 10023 is 10023.

4. How to Find the LCM of 10016 and 10023?

Answer:

Least Common Multiple of 10016 and 10023 = 100390368

Step 1: Find the prime factorization of 10016

10016 = 2 x 2 x 2 x 2 x 2 x 313

Step 2: Find the prime factorization of 10023

10023 = 3 x 13 x 257

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 100390368 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 257 x 313

Step 4: Therefore, the least common multiple of 10016 and 10023 is 100390368.